IB Mathematics Applications & Interpretation Functions

Question Type 1: Finding the equation of a line using a point and a y-intercept

Question Type 2: Finding the equation of a straight line using a point and a gradient

Question Type 3: Converting between different forms

Question Type 4: Finding the gradient using two different points

Question Type 5: Finding the line that goes through two unique points

Question Type 6: Identifying whether two lines are parallel or perpendicular

Question Type 7: Finding a parallel line and perpendicular line passing through specific point for a given line

Question Type 1: Finding values of a function

Question Type 2: Determining whether a specific relation is a function

Question Type 3: Finding the domain of simple functions

Question Type 4: Finding the domain of more complex functions

Question Type 5: Finding the range of different simple functions

Question Type 6: Finding the range of more complex functions

Question type 7: Determining whether the function has an inverse in the respective domains

Question Type 8: Solving questions with the values of inverses

Question Type 1: Graphing functions

Question Type 1: Finding the x and/or y intercepts of graphs

Question Type 2: Finding the intersection points between two different lines

Question Type 3: Finding points of intersection of two different functions

Question Type 1: Creating linear models for different real-life contexts

Question Type 2: Graphing different linear models

Question Type 3: Calculating solution to questions based around linear models

Question Type 4: Calculating the vertex and axis of symmetry of quadratic functions

Question Type 5: Working with the quadratic formula

Question Type 6: Calculating roots of polynomial equations using technology

Question Type 7: Sketching graphs of polynomials using technology

Question Type 8: Converting the quadratic to a product of linear terms

Question Type 9: Converting quadratics into the vertex form

Question Type 10: Using data points or images to estimate quadratic equations

Question Type 11: Performing simple calculations with an exponential model

Question Type 12: Formulating exponential models given descriptions

Question Type 13: Formulating and plotting exponential models to indicate key features such as asymptotes and intercepts

Question Type 14: Calculating with proportionality of two variables

Question Type 15: Formulating sinusoidal models given descriptions

Question Type 16: Working with sinusoidal models to calculate values of parameters

Question Type 17: Using sinusoidal models to create graphs using technology

Question Type 1: Recognizing and choosing appropriate models given descriptions or graphs

Question Type 2: Determining mathematical formulations for contextualized models such as the function, domain, range.

Question Type 3: Formulating and solving linear equations in coefficients of polynomials

Question Type 4: Finding parameters of exponential models using the initial condition

Question Type 5: Finding values through substitution of values

Question Type 1: Finding composite functions given two functions

Question Type 2: Finding complex combination of composite functions given two or more functions

Question Type 3: Finding the inverse function of simple functions

Question Type 4: Finding the inverse functions including their domains and range

Question Type 1: Drawing the effect of single transformations on a graph

Question Type 2: Determining whether two transformations are the same effect wise

Question Type 3: Given a description of transformations, finding the appropriate transformed function

Question Type 4: Creating a description explaining function transformations

Question Type 5: Drawing the effect of multiple transformations on a graph

Question Type 1: Modelling decay using exponential functions

Question Type 2: Sketching different logarithmic models for different parameter values using technology

Question Type 3: Formulating sinusoidal models through descriptions

Question Type 4: Converting between sinusoidal model representations

Question Type 5: Determining parameter values based on information on the logistic model

Question Type 6: Formulating a logistic model based on descriptions

Question Type 7: Formulating piecewise models based on contextual information and descriptions

Question Type 8: Determining continuity of piecewise models

Question Type 1: Scaling data appropriately under the context

Question Type 2: Converting exponential and logarithmic models into linearized relations

Question Type 3: Determining best fit straight lines for linearized models

Question Type 4: Using log-log and semi-log variables for estimation of parameters